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Chapter 3 Ohm’s Law Introduction • Ohm’s law is one of the most fundamental and important laws in the fields of electricity and electronics Objectives • Explain Ohm’s law • Use Ohm’s law to determine voltage, current, or resistance • Define energy and power • Calculate power in a circuit • Properly select resistors based on power considerations Objectives • Explain energy conversion and voltage drop • Discuss power supplies and their characteristics • Describe a basic approach to troubleshooting Ohm’s Law • Ohm’s law describes mathematically how voltage, current, and resistance in a circuit are related – if the voltage across a resistor is increased, the current through the resistor will increase – if the voltage is decreased, the current will decrease Ohm’s Law • The effect of changing voltage on current, if resistance is held constant Ohm’s Law • The effect of changing resistance on current, if voltage is held constant Formula for Current • If the values of Voltage and Resistance are know, Current can be calculated as: I = V/R – voltage must be in volts, and resistance must be in ohms in order to get current in amperes Formula for Voltage • If the values of Current and Resistance are know, Voltage can be calculated as: V = IR Formula for Resistance • If the values of Voltage and Current are know, Resistance can be calculated as: R = V/I Energy and Power • Energy is the ability to do work – Energy is measured in joules (J) • Power is the rate at which energy is used P = W/t – One watt (W) is the amount of power when one joule of energy is used in one second Energy and Power • Typical power rating in watts for several household appliances Power in an Electric Circuit • Power in an electric circuit may be expressed as: P = VI • Using Ohm’s law, and substituting, we can also obtain: P = I2R and P = V2/R The Power Rating of Resistors • The power rating is the maximum amount of power that a resistor can dissipate without being damaged by excessive heat buildup – The power rating is not related to the ohmic value – Power rating is determined by physical composition, size, and shape of the resistor The Power Rating of Resistors • Metal-film resistors are available in standard power ratings from 1/8 W to 1 W – When a resistor is used in a circuit, its power rating should be greater than the maximum power that it will have to handle The Power Rating of Resistors • When the power dissipated in a resistor is greater than its rating, the resistor will become excessively hot – the resistor may burn up – its resistance value may be greatly altered – damaged resistors may be detected by charred or altered appearance of the surface, otherwise a suspect resistor should be removed from the circuit and checked with an ohmmeter Energy Conversion and Voltage drop in a Resistance • As electrons flow through each resistor, some of their energy is given up in the form of heat • The same number of electrons flow at each point throughout the circuit, but their energy decreases as they move through the resistance of the circuit Power Supplies • A power supply produces voltage across its output terminals and provides current through the load – The product IVOUT is the amount of power produced by the supply and consumed by the load – A battery is a dc power supply that converts chemical energy into electrical energy Power Supplies • Ampere-hour ratings of batteries – Batteries have a certain capacity that limits the amount of time over which they can produce a given power level; this capacity is measured in ampere-hours (Ah) • Ampere-hour rating determines the number of hours a battery can deliver one ampere • Ampere-hour rating can also describe the number of amperes a battery can supply to a load for one hour Power Supplies • Electronic power supplies normally convert 110 VAC (volts alternating current) from a wall outlet into a regulated dc (direct current) voltage at a level suitable for electronic components – A regulated voltage is one that remains essentially constant with changes in input voltage or load Power Supplies • Efficiency of a power supply is the ratio of the output power POUT to the input power PIN – Output power is always less than input power because some of the total power is used internally to operate the power supply circuitry – Internal power dissipation is called the power loss: POUT = PIN - PLOSS Voltage Measurements • To measure voltage, the voltmeter is placed in parallel across the component; that is, one lead is place on each side of the component Resistance Measurements • To measure resistance, the ohmmeter is connected across a component; however, the the voltage must be first disconnected, and usually the component itself must be removed from the circuit Current Measurements • To measure current, the ammeter must be placed in series with the component; that is, it must be in line with the current path Summary • Voltage and current are linearly proportional • Ohm’s law gives the relationship of voltage, current, and resistance • Current is directly proportional to voltage • Current is inversely proportional to resistance Summary • A kilohm (k) is one thousand ohms • A Megohm (M) is one-million ohms • A microampere (A) is one-millionth of an ampere • A milliampere (mA) is one-thousandth of an ampere Summary • Use: V = IR, when calculating voltage • Use: I = V/R, when calculating current • Use: R = V/I, when calculating resistance Summary Summary • • • • Power rating is not related to resistance value Energy is equal to power multiplied by time Kilowatt-hour is a unit of energy A power supply is an energy source used to operate electrical and electronic devices • A battery converts chemical energy into electrical energy • Electronic power supplies convert commercial energy (ac) to a regulated dc voltage Summary • A load is a device that draws current from the power supply • Capacity of a battery is measured in ampere-hours (Ah) • Ampere-hours equals the number of hours a battery can supply one ampere, or the number of amperes a battery can supply in one hour • Electronic power supplies require more power input than they can provide as power output